The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces

The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Ric...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2016
Main Author: Chiba, H.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147432
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Chiba, H.
author_facet Chiba, H.
citation_txt The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-27T18:46:20Z
publishDate 2016
publisher Інститут математики НАН України
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spelling Chiba, H.
2019-02-14T18:32:39Z
2019-02-14T18:32:39Z
2016
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 34M35; 34M45; 34M55
DOI:10.3842/SIGMA.2016.019
https://nasplib.isofts.kiev.ua/handle/123456789/147432
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Article
published earlier
spellingShingle The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Chiba, H.
title The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
title_full The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
title_fullStr The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
title_full_unstemmed The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
title_short The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
title_sort third, fifth and sixth painlevé equations on weighted projective spaces
url https://nasplib.isofts.kiev.ua/handle/123456789/147432
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